California offers both. I renewed my license last year. I opted for a non Real ID version because I could renew online rather than spend hours at the DMV.

All states do (for now). Not everyone qualified to drive is capable of proving their identity to the level RealID requires.

I renewed mine in May and still have a non-Real ID license.

I know for a fact Kentucky offers both.

Some states, including mine, don't offer RealID at all, but instead an "enhanced driver license" that is accepted alongside RealID. I don't even have that, because I already have a passport card, so there's no reason to spend the extra money.